Answer:
y = -3x - 23
Explanation:
When a transversal of the two lines is constructed, the alternate interior angles formed by the transversal are congruent. This means line m and n are parallel to each other so their slope will be the same.
Given:
line m: y = -3x + 8 <======= slope is -3
line n going through point (-4, -11) with same slope as line m:
y = mx + b
(-11) = -3(-4) + b
-11 = 12 + b
b = -23 <===== y-intercept of line n
Use the above slope and y-intercept to form equation of line n:
y = mx + b
y = -3x - 23